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SMEFiT Database

This repository collects the experimental datasets and theoretical calculations used in the SMEFiT global analysis framework.

SMEFiT Wilson coefficients

Definitions are given in terms of the Warsaw basis (WCxf).

This section is auto-generated from operators_implemented.yaml. Do not edit it manually.

Each entry defines the Wilson coefficient cX, corresponding to the SMEFiT operator OX, as used in the JSON theory tables.

Operator index conventions:

  • i denotes the first two right-handed up-quark and left-handed quark doublet generations (i = 1, 2), assumed identical.
  • j denotes the three right-handed down-quark generations (j = 1, 2, 3), assumed identical.

These conventions reflect the flavour-symmetry assumptions adopted in SMEFiT.

Bosonic

cp = phi
cpG = phiG
cpB = phiB
cpW = phiW
cpWB = phiWB
cpBox = phiBox
cpD = phiD
cWWW = W

Dipoles

ctG = 1/gs * uG_33
ctW = uW_33
ctZ = cw * uW_33 - sw * uB_33

Quark currents

cpQM = phiq1_33 - phiq3_33
c3pQ3 = phiq3_33
cpt = phiu_33
cpqMi = phiq1_ii - phiq3_ii
c3pq = phiq3_ii
cpui = phiu_ii
cpdi = phid_jj

Yukawa

ctp = uphi_33
ccp = uphi_22
cbp = dphi_33
ctap = ephi_33
cmup = ephi_22

4Heavy four-quarks

cQQ1 = 2 * qq1_3333 - 2/3 * qq3_3333
cQQ8 = 8 * qq3_3333
cQt1 = qu1_3333
cQt8 = qu8_3333
ctt1 = uu_3333

4Heavy (right-handed bottom, only included in tttt and ttbb datasets)

cQb1 = qd1_3333
cQb8 = qd8_3333
ctb1 = ud1_3333
ctb8 = ud8_3333
cQtQb1 = quqd1_3333
cQtQb8 = quqd8_3333
cbb = dd_3333

2L2H four-quarks

c81qq = qq1_i33i + 3 * qq3_i33i
c11qq = qq1_ii33 + 1/6 * qq1_i33i + 1/2 * qq3_i33i
c83qq = qq1_i33i - qq3_i33i
c13qq = qq3_ii33 + 1/6 * qq1_i33i - 1/6 * qq3_i33i
c8qt = qu8_ii33
c1qt = qu1_ii33
c8ut = 2 * uu_i33i
c1ut = uu_ii33 + 1/3 * uu_i33i
c8qu = qu8_33ii
c1qu = qu1_33ii
c8dt = ud8_33jj
c1dt = ud1_33jj
c8qd = qd8_33jj
c1qd = qd1_33jj

Lepton currents

cpl1 = phil1_11
cpl2 = phil1_22
cpl3 = phil1_33
c3pl1 = phil3_11
c3pl2 = phil3_22
c3pl3 = phil3_33
cpe = phie_11
cpmu = phie_22
cpta = phie_33

Four-lepton

cll1111 = ll_1111
cll2222 = ll_2222
cll3333 = ll_3333
cll1122 = 1/2 * ll_1122
cll1133 = 1/2 * ll_1133
cll2233 = 1/2 * ll_2233
cll1221 = 1/2 * ll_1221
cll1331 = 1/2 * ll_1331
cll2332 = 1/2 * ll_2332
cle1111 = le_1111
cle2222 = le_2222
cle3333 = le_3333
cle3311 = le_3311
cle3322 = le_3322
cle1133 = le_1133
cle2211 = le_2211
cle1221 = le_1221
cle1122 = le_1122
cle2233 = le_2233
cee1111 = ee_1111
cee2222 = ee_2222
cee3333 = ee_3333
cee1133 = 1/4 * ee_1133
cee1122 = 1/4 * ee_1122
cee2233 = 1/4 * ee_2233

2L2Q operators

cQl1M = lq1_1133 - lq3_1133
cQl13 = lq3_1133
cQl3M = lq1_3333 - lq3_3333
cQl33 = lq3_3333
cQe = qe_3311
cQta = qe_3333
ctl1 = lu_1133
ctl2 = lu_2233
ctl3 = lu_3333
cte = eu_1133
ctta = eu_3333

2L2q operators

cql1M = lq1_11ii - lq3_11ii
cql13 = lq3_11ii
cqe = qe_ii11
cl1u = lu_11ii
cl1d = ld_11ii
cl1b = ld_1133
ceu = eu_11ii
ced = ed_11ii
ceb = ed_1133

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